Question

If the density of a substance is 5g/cm3 and the volume is 10cm3, determine the mass.

Answer 1

Answer:

(5g/cm³)*(10cm³) = 50g

Explanation:

This is just a conversion formula. Easy to find using dimensional analysis.

(5g/cm³)*(10cm³) = 50g

Answer 2

Answer:

$\boxed {\boxed {\sf 50 \ grams}}$

Explanation:

Density is the amount of mass per unit volume, so the formula is:

$d = \frac{m}{v}$

The density of the substance is 5 grams per cubic centimeter and the volume is 10 cubic centimeters.

• d= 5 g/cm³
• v= 10 cm³

Substitute the values into the formula.

$5 g/cm^3 = \frac{m}{10 \ cm^3}$

We are solving for the mass, so we have to isolate the variable m. It is being divided by 10 cubic centimeters. The inverse of division is multiplication, so we multiply both sides of the equation by 10 cm³.

$10 \ cm^3 *5 g/cm^3 = \frac{m}{10 \ cm^3} * 10 \ cm^3$

$10 \ cm^3 *5 g/cm^3 = m$

The units of cubic centimeters (cm³) cancel.

$10 *5 g = m$

$50 \ g=m$

The mass of the substance is 50 grams.